In case where the selling price of two articles is the same and one is sold at a loss of X% and another is sold at a profit of X% then this will always leads to a loss of X^2/100 %
A shopkeeper sells two books at the same price. If he sells one book at a profit of 30% and another book at a loss of 30%, find the profit or loss percentage
C.No profit no loss
D.cannot be determined
Answer: (30)^2/100 %
Logic: First articles is sold @30% profit that is 130/-. Therefore the SP will be 130 /-.
Now since both articles are sold at a same price, the SP of another articles will be 130/-.
Now another articles will be sold @ 30% loss that is Rs.39 that is at Rs.91.
Therefore the loss is 100-91 = 9
= 9/100 = 9%
1) Both Percentage should be same to solve this problem
2) One must be sold at a profit and another at a loss. (order does not matter)
3) It always lead to loss only
WHY?Suppose the SP is 100
First sold at a profit of 10% and then loss at a loss of 10% then it will result in final price of
100+10% of 100 = 110
110 - 10% of 110= 99So final loss would be 100-99 = 1
Now. change the order and first sold at loss and then sold at profit that is
100-10% of 100= 90
90 + 10% of 90 = 99so final loss would be 1
So there would be loss in both case...l